Least Common Multiple of 13/568, 60/440, 146/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/568, 60/440, 146/204 quickly i.e. 14235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/568, 60/440, 146/204 is 14235.

LCM(13/568, 60/440, 146/204) = 14235

LCM of 13/568, 60/440, 146/204

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 13/568,60/440,146/204

Given numbers are 13/568,60/440,146/204

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 13,60,146

Least Common Multiple of Numerators i.e. LCM of 13,60,146 is 56940.

GCF of Denominators means GCF of 568,440,204 as per the given fractions.

GCF of 568,440,204 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,60,146

LCM of Fractions 13/568,60/440,146/204 is 14235

2 13, 60, 146
13, 30, 73

∴ So the LCM of the given numbers is 2 x 13 x 30 x 73 = 56940

Least Common Multiple of 13,60,146 with GCF Formula

Least Common Multiple of 13,60,146 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 13,60,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,60,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,60,146) x common factors =1 x 2 = 2

LCM(13,60,146) = ( 13 × 60 × 146 ) / 2

LCM(13,60,146) = 113880 / 2

LCM(13,60,146) = 56940


Lets's calculate GCF of 568,440,204

2 568, 440, 204
2 284, 220, 102
142, 110, 51

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56940/4

Therefore the LCM of Fractions 13/568,60/440,146/204 is 14235

Greatest Common Factor of 568,440,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,440,204 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 568,440,204 . The biggest common factor number is the GCF number.
So the greatest common factor 568,440,204 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 13/568, 60/440, 146/204

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 13/568, 60/440, 146/204?

Answer: LCM of Numerators as per given numbers 13/568, 60/440, 146/204 is

LCM of Numerators i.e. for 13,60,146 is 56940

GCF of denominators i.e. for 568,440,204 is 4.

Thus, LCM of Fractions is 14235.Finally, LCM of Fractions for 13/568, 60/440, 146/204 is 14235.